Question

Distance	3.4	1.8	4.6	2.3	3.1	5.5	0.7	3.0
Damage	26.2	17.8	31.3	23.1	27.5	36.0	14.1	22.3

Distance	2.6	4.3	2.1	1.1	6.1	4.8	3.8
Damage	19.6	31.3	24.0	17.3	43.2	36.4	26.1

For this data set, what values of explanatory and response variables, that is what coordinate pair (x,y), is the least-squares regression equation guaranteed to pass through? See page 192 in the course text.

Answer 1

Distance	Damage
3.4	26.2
1.8	17.8
4.6	31.3
2.3	23.1
3.1	27.5
5.5	36
0.7	14.1
3	22.3
2.6	19.6
4.3	31.3
2.1	24
1.1	17.3
6.1	43.2
4.8	36.4
3.8	26.1

If we look at the above given figure, then by visualization we can get that Point (4.3, 31.3) is most likely to satisfies the least square regression equation. This means the the value of explanatory variable is 4.3 and the response variable is 31.3, which is most likely to satisfies the line of fit or regression.

Therefore, the point (4.3, 31.3).